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Finding the Third Proportional to 362,004 and 532,462

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Solution

The third proportional to 362,004 and 532,462 is: 783,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,004 : 532,462 = 532,462 : x
  2. Step 2: Convert to fraction form
    362,004/532,462 = 532,462/x
  3. Step 3: Cross multiply
    362,004x = 532,462 × 532,462
  4. Step 4: Simplify right side
    362,004x = 283,515,781,444
  5. Step 5: Solve for x
    x = 283,515,781,444/362,004
  6. Step 6: Final answer
    x = 783,184.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.